Find the curved surface area of the frustrum in the figure.

Find the curved surface area of the frustrum in the figure.

Answer Details

$\frac{x}{4}=\frac{6+x}{6}$

6x = 4(6 + x) = 24 + 4x

x = 12 = c = $\pi RL-\pi L$

= $\pi \left(6\right)\sqrt{{18}^2}+6^2-\pi \times 4\times \sqrt{{12}^2}+4^2$

= 6$\pi \sqrt{360}-4\pi \sqrt{160}$

= 36$\pi \sqrt{10}-16\pi \sqrt{10}$

= 20$\pi \sqrt{10}$cm2